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Modeling and Analysis of Output Processes of Linear Continuous Stochastic Systems Based on Orthogonal Expansions of Random Functions
Journal of Computer and Systems Sciences International ( IF 0.5 ) Pub Date : 2020-07-12 , DOI: 10.1134/s1064230720030156 K. A. Rybakov
中文翻译:
基于随机函数正交展开的线性连续随机系统输出过程的建模与分析
更新日期:2020-07-12
Journal of Computer and Systems Sciences International ( IF 0.5 ) Pub Date : 2020-07-12 , DOI: 10.1134/s1064230720030156 K. A. Rybakov
Abstract
The problem of modeling and analyzing output processes of linear continuous stochastic systems is considered and the method for its solution based on the spectral form of mathematical description of the control systems is proposed. The proposed approach provides an explicit representation of the output signal of the system in the form of functional series with random coefficients or in the form of a partial sum in the approximate solution, which distinguishes this method from other approaches when the result of the solution are the deterministic characteristics of the output signal: the first two moments or the probability density function. As an application, the problem of modeling the action of wind is considered using the Dryden shaping filter.中文翻译:
基于随机函数正交展开的线性连续随机系统输出过程的建模与分析